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Finding the Fourth Proportional to 9,427, 13,009.80 and 5,235.52

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Solution

The fourth proportional to 9,427, 13,009.80 and 5,235.52 is: 7,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427 : 13,009.80 = 5,235.52 : x
  2. Step 2: Convert to fraction form
    9,427/13,009.80 = 5,235.52/x
  3. Step 3: Cross multiply
    9,427x = 13,009.80 × 5,235.52
  4. Step 4: Simplify right side
    9,427x = 68,113,068.10
  5. Step 5: Solve for x
    x = 68,113,068.10/9,427
  6. Step 6: Final answer
    x = 7,225.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.